[176] Which of the following has the most number of divisors?

For Competitive Exams

Which of the following has the most number of divisors?

101

176

182

Explanation:

99 = 1 x 3 x 3 x 11

101 = 1 x 101

176 = 1 x 2 x 2 x 2 x 2 x 11

182 = 1 x 2 x 7 x 13

So, divisors of 99 are 1, 3, 9, 11, 33, .99

Divisors of 101 are 1 and 101

Divisors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88 and 176

Divisors of 182 are 1, 2, 7, 13, 14, 26, 91 and 182.

Hence, 176 has the most number of divisors.

Additional Questions

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:	Answer
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:	Answer
What is the least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder?	Answer
The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:	Answer
What is the HCF of 2.04, 0.24 and 0.8 ?	Answer
The G.C.D. of 1.08, 0.36 and 0.9 is:	Answer
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:	Answer
The H.C.F of two 9/10,12/25,18/35 and 21/40 is:	Answer
If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:	Answer
Which of the following has the most number of divisors?	Answer

Share with Friends